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NCERT Solutions
Class 12
Maths
Chapter 6 Application of Derivatives

NCERT Solutions Class 12 Maths Chapter 6 Application of Derivatives

Class 12 Maths Chapter 6: Application of Derivatives focuses on using derivatives and explains how derivatives help in finding the rate of change, increasing and decreasing functions, tangents and normals, maxima and minima, and practical problems based on optimisation. These concepts show how calculus can be applied beyond formulas and is a very important topic from an exam point of view.

ALLEN provides Class 12 Maths Chapter 6 NCERT Solutions prepared by subject experts according to the latest textbook and aligned with the current syllabus prescribed by CBSE. The solutions are explained step by step in simple language so that Class 12 students can easily understand applications and methods. Practising NCERT Solutions on Application of Derivatives regularly helps improve analytical thinking, accuracy, and confidence for board and competitive exams.

1.0Download NCERT Solutions Class 12 Maths Chapter 6 Application of Derivatives : Free PDF

NCERT Solutions for Class 12 Maths Chapter 6 Application of Derivatives, helps students practise application-based questions clearly. Download the free PDF now to revise concepts and prepare effectively for exams.

NCERT Solutions for Class 12 Maths Chapter 6 Application of Derivatives

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2.0Key Concepts of NCERT Solutions Class 12 Maths Chapter 6 Application of Derivatives

Class 12 Maths Chapter 6 explains how derivatives are used to study the behaviour of functions. The key lessons of Class 12 Maths chapter 6 NCERT Solutions includes:

  • Rate of Change: Understanding how derivatives represent the rate at which one quantity changes with respect to another.
  • Increasing and Decreasing Functions: Using derivatives to determine intervals where a function increases or decreases.
  • Tangents and Normals: Finding equations of tangents and normals to curves at given points.
  • Maxima and Minima: Identifying maximum and minimum values of functions using first derivative tests.
  • Applications in Real-Life Problems: Solving word problems related to optimisation and practical situations.

3.0Key Features and Benefits of NCERT Solutions Class 12 Maths Chapter 6 Application of Derivatives

  • Solutions explain application-based problems clearly, helping students understand how derivatives are used in practice.
  • Step-by-step methods make solving tangents, normals, and maxima-minima problems easier in exams.
  • The exercises follow the latest NCERT syllabus and cover all the textbook solutions.
  • Regular practice improves logical thinking and accuracy in solving calculus problems.
  • Strong understanding supports preparation for maths olympiads and competitive entrance exams.
  • Concept clarity gained from these chapters help in advanced calculus chapters and real-world applications.

Table of Contents


  • 1.0Download NCERT Solutions Class 12 Maths Chapter 6 Application of Derivatives : Free PDF
  • 2.0Key Concepts of NCERT Solutions Class 12 Maths Chapter 6 Application of Derivatives
  • 3.0Key Features and Benefits of NCERT Solutions Class 12 Maths Chapter 6 Application of Derivatives

Frequently Asked Questions

The chapter includes rate of change, increasing-decreasing functions, tangents, normals, and maxima-minima with practical problem-solving applications.

It carries good weightage in CBSE exams and tests students’ understanding of applying calculus concepts correctly.

They show step-by-step reasoning and correct methods, making complex problems easier to understand and solve.

Yes, optimisation and derivative-based reasoning are commonly tested in olympiads and entrance examinations.

It improves analytical thinking, helps interpret word problems, and builds confidence in applying calculus concepts.

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